Abstract
Superionic conductors are characterized by an almost liquid-like mobility of one of the constituent ion species. The simplest theoretical concept of particle mobility in such a system is based on Brownian motion of particles in a periodic potential. Within this picture it is possible to identify two limiting cases:
-
(i)
Barrier height large compared with kBT and not too large damping of the particle oscillations. For this case standard free rate theory applies and the dc conductivity is thermally activated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Landau, E. Lifshitz: Statistical Physios (Oxford University Press, New York 1938) p.184.
C.P. Flynn: Point Defects and Diffusion (Clarendon Press, Oxford 1972) pp.306–327.
R. Vargas, M.B. Salamon, C.P. Flynn: Phys. Rev. Lett. 37, 1550 (1976).
M.J. Rice, S. Strässler, G.A. Toombs: Phys. Rev. Lett. 32, 546 (1974).
W.J. Pardee, G.D. Mahan: J. Solid State Chem. 15, 310 (1975).
H. Sato: In Solid Electrolytes, Topics in Appl. Phys. Vol.21, ed. by S. Geller. (Springer, Berlin, Heidelberg, New York 1977) p.3.
H. Sato, R. Kikuchi: J. Chem. Phys. 55, 677 (1971).
L. Pietronero, S. Strässler: Z. Phys. B 32, 339 (1979).
W. Dieterich, I. Peschel, W.R. Schneider: Commun. Phys. 2, 175 (1977) Eq. (13).
D.L. Huber: Phys. Rev. B15, 533 (1977).
P.M. Richards: Phys. Rev. B16, 1393 (1977).
J.C. Kimball: Bull. Amer. Phys. Soc. 22, 369 (1977).
R. Kikuchi: Fast Ion Transport in Solids, Solid State Batteries and Devices, ed. by W. van Gool. (North-Holland, Amsterdam 1973) p.555.
R.J. Elliot, J.A. Krummhansl, P.L. Leath: Rev. Mod. Phys. 46, 465 (1974).
S. Strässler, W.R. Schneider, G.A. Toombs: To be published.
K. Funke: Prog. Solid State Chem. 11, 345 (1976).
L. Pietronero, S. Strässler: Solid State Commun. 27, 1041 (1978).
J.C. Wang, D.F. Pickett, Jr.: J. Chem. Phys. 65, 5278 (1977).
H.U. Beyeler, L. Pietronero, S. Strässler, H.J. Wiesmann: Phys. Rev. Lett. 38, 1532 (1977).
A. Barone, F. Esposito, C.J. Magee, A.C. Scott: Riv. Nuovo Cimento 1, 227 (1971).
M.B. Fogel, S.E. Trullinger, A.R. Bishop, J.A. Krummhansl: Phys. Rev. B15, 1587 (1977).
P. Fulde, L. Pietronero, W.R. Schneider, S. Strässler: Phys. Rev. Lett. 26, 1776 (1975).
W. Dieterich, I. Peschel, W.R. Schneider: Z. Phys. B27, 177 (1977).
L.W. Strock: Z. Physik. Chem. B25, 441 (1934).
R.J. Cava, F. Reidinger, B.J. Wuensch: Solid State Commun. 24, 411 (1977).
J.C. Boyce, T.M. Hayes, W. Stutius, C. Mikkelsen: To be published.
W. Bührer, W. Hälg: Helv. Phys. Acta 47, 27 (1974).
H.U. Beyeler: Unpublished.
J. Nölting: Ber. Bunsenges. Phys. Chem. 67, 172 (1963).
W. Bührer, P. BrUesch: To be published.
R. Alben, G. Burns: Phys. Rev. B16, 3746 (1977).
P. Brüesch, S. Strässler, H.R. Zeller: Phys. Stat. Sol. (a) 31, 217 (1975).
G. Burns, F.H. Dacol, M.W. Shafer: Phys. Rev. B16, 1416 (1977).
W. Böhrer, P. BrUesch: Phys. Rev. B, to be published.
K. Funke, A. Jost: Ber. Bunsenges. Phys. Chem. 75, 436 (1971).
A. Byström, A.M. Byström: Acta Cristallogr. 3, 146 (1950).
H.G.F. Winkler: Acta Cristallogr. 1, 27 (1948).
H.U. Beyeler: Phys. Rev. Lett. 37, 1557 (1976).
J.L. Doob: Stochastic Processes (Wiley and Sons, New York, London, Sidney 1967).
H.U. Beyeler: Unpublished.
J. Bernasconi, H.U. Beyeler, S. Strässler, S. Alexander: Anomalous frequency. Dependent conductivity in disordered one-dimensional systems. Phys. Rev. Lett., (March 1979).
H.U. Beyeler, L. Pietronero: About the conductivity anomlay in (Na,K)-Ga 2 O3 mixed crystals. Solid State Commun. To appear (1979).
H.U. Beyeler, S. Strässler: The state of order in α-AgI. Submitted to Phys. Rev. B J.C. Kimball, L.W. Adams, Jr.: Hopping conduction and superionic conductors. Phys. Rev. B 18, 5851 (1978).
L. Pietronero: Stability and melting of simple ionic systems. Phys. Rev. B 17, 3946 (1978).
L. Pietronero, S. Strässler: Conductivity of a polarizable ion. Phys. Rev. B 18, 2016 (1978).
L Pietronero, S. Strässler: Anomalous specific heat of a one-dimensional disordered solid. Phys. Rev. Lett. 42, 188 (1979).
L. Pietronero, S. Strässler: Conductivity of a generalized hopping system with internal dynamics. Submitted to Phys. Rev. B(1979).
L. Pietronero, S. Strässler, H.R. Zeller: The microwave conductivity of solid electrolytes. Solid State Commun. To appear (1979).
P.M. Richards: Hopping conductivity in a quasi-one-dimensional lattice gas with three-dimensional ordering. Phys. Rev. B 18, 945 (1978).
J.B. Sokoloff, W. Widom: Theory of one-dimensional ionic and solitary wave conduction in potassium hollandite. Phys. Rev. B 18, 2824 (1978).
R.A. Vargas, M.B. Salamon, C.P. Flynn: Ionic Conductivity and heat capacity of the solid electrolytes M Ag 1 I5 near Tc. Phys. Rev. B 17, 269 (1978).
P. Vashista, A. Rahman: Ionic motion in α-AgI. Phys. Rev. Lett. 40, 1337 (1978).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Beyeler, H.U., Brüesch, P., Pietronero, L., Schneider, W.R., Strässler, S., Zeller, H.R. (1979). Statics and Dynamics of Lattice Gas Models. In: Salamon, M.B. (eds) Physics of Superionic Conductors. Topics in Current Physics, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81328-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-81328-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81330-6
Online ISBN: 978-3-642-81328-3
eBook Packages: Springer Book Archive